poj 3041 Asteroids (最小点覆盖)

Asteroids

Time Limit: 1000MS		Memory Limit: 65536K
Total Submissions: 26239		Accepted: 14182

Description

Bessie wants to navigate her spaceship through a dangerous asteroid field in the shape of an N x N grid (1 <= N <= 500). The grid contains K asteroids (1 <= K <= 10,000), which are conveniently located at the lattice points of the grid.

Fortunately, Bessie has a powerful weapon that can vaporize all the asteroids in any given row or column of the grid with a single shot.This weapon is quite expensive, so she wishes to use it sparingly.Given the location of all the asteroids in the field, find the minimum number of shots Bessie needs to fire to eliminate all of the asteroids.

Input

* Line 1: Two integers N and K, separated by a single space.
* Lines 2..K+1: Each line contains two space-separated integers R and C (1 <= R, C <= N) denoting the row and column coordinates of an asteroid, respectively.

Output

* Line 1: The integer representing the minimum number of times Bessie must shoot.

Sample Input

3 4
1 1
1 3
2 2
3 2

Sample Output

2

 

C/C++：

#include <map>
#include <queue>
#include <cmath>
#include <vector>
#include <string>
#include <cstdio>
#include <cstring>
#include <climits>
#include <iostream>
#include <algorithm>
#define INF 0xffffff
using namespace std;
const int my_max = 505;

int n, k, a, b, my_ans, my_line[my_max][my_max], my_book[my_max], my_right[my_max];

bool my_dfs(int x)
{
    for (int i = 1; i <= n; ++ i)
    {
        if (!my_book[i] && my_line[x][i])
        {
            my_book[i] = 1;
            if (!my_right[i] || my_dfs(my_right[i]))
            {
                my_right[i] = x;
                return true;
            }
        }
    }
    return false;
}

int main()
{
    while (~scanf("%d%d", &n, &k))
    {
        my_ans = 0;
        memset(my_line, 0, sizeof(my_line));
        memset(my_right, 0, sizeof(my_right));

        while (k --)
        {
            scanf("%d%d", &a, &b);
            my_line[a][b] = 1;
        }
        for (int i = 1; i <= n; ++ i)
        {
            memset(my_book, 0, sizeof(my_book));
            if (my_dfs(i)) my_ans ++;
        }

        printf("%d\n", my_ans);
    }
    return 0;
}